Answer :
To solve how much pebble weight is needed to cover 75,000 square feet, we first need to determine how many pounds of pebbles are required per square foot, based on the information that 430 pounds cover 1,500 square feet.
Step-by-step Calculation:
Find the weight per square foot:
We have 430 pounds covering 1,500 square feet. To find the pounds per square foot, we divide the total weight by the total area.
[tex]\text{pounds per square foot} = \frac{430 \text{ pounds}}{1500 \text{ square feet}} = \frac{43}{150} \approx 0.2867 \text{ pounds per square foot}[/tex]
Use this rate to calculate for 75,000 square feet:
Now, using the rate calculated above, we multiply by the new area of 75,000 square feet to find the total weight of pebbles needed.
[tex]\text{Total pounds} = 0.2867 \times 75000 = 21500.25 \text{ pounds}[/tex]
Therefore, approximately 21,500 pounds of pebbles are needed to cover 75,000 square feet.
